The median of the trapezoid is the average of the bases. If we draw the trapezoid that is being described in this item, we will deduce that AB and DC are the bases and EF is given to be the median.
For this item,
EF = (AB + CD) / 2
Part A:
EF = (15 + 11) / 2 = 13
Part B:
AB = 2EF - CD
AB = (2)(14) - 10 = 18
Part C:
18 = ((5n - 9) + (2n + 3))/2
18 = (7n - 6) / 2
n = 6
Part D:
2y + 4 = ((5y + 2) + (-3y + 8))/2
y = 1
EF = 2(1) + 4 = 6
AB = (5(1) + 2 = 7
AB = -3(1) + 8 = 5
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
That dot means multiplication
<span><u><em>Answer:</em></u>
247,000
<u><em>Explanation:</em></u>
To round a number to the nearest thousand, we check the digit in the <u>hundreds position</u>:
1- If the digit is <u>less than 5</u>, then we round down. This means that we simply convert all digits after the thousands to zero and that's it
2- If the digit is <u>equal to or more than 5</u>, then we round up. This means that we add one to the thousands digit and then convert all digits after the thousands to zero.
In the given number 247039, the number in the hundreds position is 0. This means that we will <u>round down
</u>
Therefore, 246039 rounded to the nearest thousand would simply give 247000
Hope this helps :)</span>